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High Energy Physics - Theory

arXiv:hep-th/0509045v1 (hep-th)
[Submitted on 6 Sep 2005 ]

Title: A Bethe Ansatz Study of Free Energy and Excitation Spectrum for Even Spin Fateev Zamolodchikov Model

Title: 关于偶自旋Fateev Zamolodchikov模型的自由能和激发谱的Bethe Ansatz研究

Authors:Subhankar Ray, J. Shamanna
Abstract: A Bethe Ansatz study of a self dual Z_N spin model is undertaken for even spin system. One has to solve a coupled system of Bethe Ansatz Equations (BAE) involving zeroes of two families of transfer matrices. A numerical study on finite size lattices is done for identification of elementary excitations over the Ferromagnetic and Antiferromagnetic ground states. The free energies for both Ferromagnetic and Antiferromagnetic ground states and dispersion relation for elementary excitations are found.
Abstract: 对偶自对称ZN自旋模型的Bethe Ansatz研究被应用于偶数自旋系统。 必须解决涉及两个转移矩阵族零点的耦合Bethe Ansatz方程(BAE)系统。 在有限大小的晶格上进行了数值研究,以识别铁磁和反铁磁基态的基本激发。 发现了铁磁和反铁磁基态的自由能以及基本激发的色散关系。
Comments: 25 pages, 4 figures
Subjects: High Energy Physics - Theory (hep-th) ; Statistical Mechanics (cond-mat.stat-mech); Mathematical Physics (math-ph)
Cite as: arXiv:hep-th/0509045
  (or arXiv:hep-th/0509045v1 for this version)
  https://doi.org/10.48550/arXiv.hep-th/0509045
arXiv-issued DOI via DataCite
Journal reference: J.Math.Phys. 46 (2005) 043301
Related DOI: https://doi.org/10.1063/1.1847708
DOI(s) linking to related resources

Submission history

From: Subhankar Ray [view email]
[v1] Tue, 6 Sep 2005 07:15:29 UTC (31 KB)
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